Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1272/179,1791/7760
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 1272,1791
Greatest Common Factor of Numerators i.e. GCF of 1272,1791 is 3 .
LCM of Denominators means LCM of 179,7760 as per the given fractions.
LCM of 179,7760 is 1389040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1272,1791
3 | 1272, 1791 |
424, 597 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1272
List of positive integer factors of 1272 that divides 1272 without a remainder.
1,2,3,4,6,8,12,24,53,106,159,212,318,424,636,1272
Factors of 1791
List of positive integer factors of 1791 that divides 1791 without a remainder.
1,3,9,199,597,1791
Greatest Common Factor
We found the factors 1272,1791 . The biggest common factor number is the GCF number.
So the greatest common factor 1272,1791 is 3.
Lets's calculate LCM of 179,7760
Given numbers has no common factors except 1. So, there LCM is their product i.e 1389040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1389040
Therefore, the GCF of Fractions 1272/179,1791/7760 is 3/1389040
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 179,7760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,7760) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,7760) x common factors =1 x 1 = 1
LCM(179,7760) = ( 179 × 7760 ) / 1
LCM(179,7760) = 1389040 / 1
LCM(179,7760) = 1389040
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 1272/179, 1791/7760?
Answer: GCF of Numerators as per given numbers 1272/179, 1791/7760 is
GCF of Numerators i.e. for 1272,1791 is 3
LCM of denominators i.e. for 179,7760 is 1389040.
Thus, GCF of Fractions is 3/1389040.Finally, GCF of Fractions for 1272/179, 1791/7760 is 3/1389040.